Algebraic-geometry codes with asymptotic parameters better than the Gilbert-Varshamov and the Tsfasman-Vlǎduţ-Zink bounds

IEEE Transactions on Information Theory

Volumn 47, Issue 1, 2001, Pages 347-352

  Xing, C ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Algebraic curves; Algebraic geometry codes; Gilbert Varshamov bound; Rational points; Tsfasman Vl du Zink bound

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTATIONAL GEOMETRY; POLYNOMIALS; SET THEORY; THEOREM PROVING;

ALGEBRAIC CURVES; ALGEBRAIC-GEOMETRY CODES; GILBERT-VARSHAMOV BOUND; RATIONAL POINTS; TSFASMAN-VLADUT-ZINK BOUND;

CODES (SYMBOLS);

EID: 0035089010     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.904533     Document Type: Article

References (9)

1. Codes on algebraic curves
2. Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-Varshamov bound
3. On the gonality of curves, abundant codes and decoding
4. An exhaustion bound for algebraic-geometric modular codes
5. Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound